# Solve the Absolute Value Inequality for w |3-6w|=39

Solve the Absolute Value Inequality for w |3-6w|=39
Remove the absolute value term. This creates a on the right side of the equation because .
The complete solution is the result of both the positive and negative portions of the solution.
First, use the positive value of the to find the first solution.
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Divide by .
Next, use the negative value of the to find the second solution.
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Divide each term in by and simplify.
Divide each term in by .
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Divide by .
The complete solution is the result of both the positive and negative portions of the solution.
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